Finite Group DatabasebetaFinite Group DatabasebetaOrder 5504.
414 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 414 conjugacy classes of subgroups — too many to draw. Only its 125 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C2×#13063283 | C2 | semidirect |
| 3. #14583243 | C2 | semidirect |
| 4. #14583242 | C2 | semidirect |
| 5. #14583226 | C2 | semidirect |
| 6. #14583225 | C2 | semidirect |
| 7. #14582942 | C2 | semidirect |
| 8. #14582901 | C2 | semidirect |
| 9. #14582898 | C2 | semidirect |
| 10. #14582862 | C2 | semidirect |
| 11. C43×#428 | C2 | semidirect |
| 30. #13063258 | C22 | semidirect |
| 31. #13063256 | C22 | semidirect |
| 32. #13063250 | C22 | semidirect |
| 33. #13063248 | C22 | semidirect |
| 34. #13063247 | C22 | semidirect |
| 35. #13063245 | C22 | semidirect |
| 41. #107×C43 | C22 | semidirect |
| 42. #106×C43 | C22 | semidirect |
| 160. #428 | D43 | semidirect |
| 164. C43 | #3093 | semidirect |
| 187. #107 | C2×D43 | semidirect |
| 189. #106 | C2×D43 | semidirect |